Explanation Formula used: (1). Chain Rule: d y d x = d y d u ⋅ d u d x . (2). The area bounded by the curve y = f ( x ) and the x -axis on the interval [ a , b ] is A ( x ) = ∫ a b f ( x ) d x . Calculation: The calculation of the area A ( a ) of the region in the first quadrant bounded by the parabola y = ( 1 a ) − x 2 a 3 , where a > 0 and the x -axis, is as follows. Notice that the x -intercept of parabola y = ( 1 a ) − x 2 a 3 is [ a , 0 ] , and the y -intercept is [ 0 , 1 a ]

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Author: Briggs

Publisher: PEARSON

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Chapter 5.5, Problem 99E

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To find: The area A(a) of the region in the first quadrant bounded by the parabola y=(1a)−x2a3,where a>0 and the x -axis, and then determine whether it is an increasing, decreasing or constant function of a .

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Chapter 5.5, Problem 98E

Chapter 5.5, Problem 100E

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Chapter 5 Solutions

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The area A ( a ) of the region in the first quadrant bounded by the parabola y = ( 1 a ) − x 2 a 3 , where a > 0 and the x -axis, and then determine whether it is an increasing, decreasing or constant function of a .

Solution Summary: The author calculates the area A(a) of the region in the first quadrant bounded by the parabola and determines whether it is an increasing, decreasing or constant function of a

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To find: The area A(a) of the region in the first quadrant bounded by the parabola y=(1a)−x2a3,where a>0 and the x -axis, and then determine whether it is an increasing, decreasing or constant function of a .

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The area A ( a ) of the region in the first quadrant bounded by the parabola y = ( 1 a ) − x 2 a 3 , where a &gt; 0 and the x -axis, and then determine whether it is an increasing, decreasing or constant function of a .

Solution Summary: The author calculates the area A(a) of the region in the first quadrant bounded by the parabola and determines whether it is an increasing, decreasing or constant function of a

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To find: The area A(a) of the region in the first quadrant bounded by the parabola y=(1a)−x2a3,where a>0 and the x -axis, and then determine whether it is an increasing, decreasing or constant function of a .

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Chapter 5 Solutions

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The area A ( a ) of the region in the first quadrant bounded by the parabola y = ( 1 a ) − x 2 a 3 , where a > 0 and the x -axis, and then determine whether it is an increasing, decreasing or constant function of a .